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Approximation of the mixed additive and cubic functional equation in paranormed spaces.
- Source :
- Journal of Nonlinear Sciences & Applications (JNSA); 2017, Vol. 10 Issue 5, p2633-2641, 9p
- Publication Year :
- 2017
-
Abstract
- In this paper, we prove some theorems about the Hyers-Ulam stability of the functional equation f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 2[f(2x) - 2f(x)] in paranormed spaces. From these theorems, as corollaries, we obtain the stability of the above functional equation with weaker conditions controlled by product of powers of norms and mixed-type product-sum of powers of norms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20081898
- Volume :
- 10
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Journal of Nonlinear Sciences & Applications (JNSA)
- Publication Type :
- Academic Journal
- Accession number :
- 123580440
- Full Text :
- https://doi.org/10.22436/jnsa.010.05.29